The impact of collisionality, FLR, and parallel closure effects on instabilities in the tokamak pedestal: Numerical studies with the NIMROD code

King, J. R.; Pankin, A. Y.; Kruger, S. E.; Snyder, P. B.

doi:10.1063/1.4954302

Title: The impact of collisionality, FLR, and parallel closure effects on instabilities in the tokamak pedestal: Numerical studies with the NIMROD code

Abstract

The extended-MHD NIMROD code [C. R. Sovinec and J. R. King, J. Comput. Phys. 229, 5803 (2010)] is verified against the ideal-MHD ELITE code [H. R. Wilson et al., Phys. Plasmas 9, 1277 (2002)] on a diverted tokamak discharge. When the NIMROD model complexity is increased incrementally, resistive and first-order finite-Larmour radius effects are destabilizing and stabilizing, respectively. Lastly, the full result is compared to local analytic calculations which are found to overpredict both the resistive destabilization and drift stabilization in comparison to the NIMROD computations.

Authors:

^[1]; Pankin, A. Y. ^[1];

^[1]; Snyder, P. B. ^[2]

Tech-X Corp., Boulder, CO (United States)
General Atomics, San Diego, CA (United States)

Publication Date:: Fri Jun 24 00:00:00 EDT 2016

Research Org.:: Tech-X Corp., Boulder, CO (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Fusion Energy Sciences (FES)

OSTI Identifier:: 1259284

Alternate Identifier(s):: OSTI ID: 1420655

Grant/Contract Number:: FC02-08ER54972; AC02-05CH11231; FC02-06ER54875; FG02-08ER54972

Resource Type:: Accepted Manuscript

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Volume: 23; Journal Issue: 6; Related Information: Dataset: J. R. King (2016). “NIMROD growth rates (1/s) by finite ele-ment poly_degree (columns) and case from “the impact of collisionality,FLR and parallel closure effects on instabilities in the tokamak pedestal:Numerical studies with the nimrod code”,” Zenodo.http://dx.doi.org/10.5281/zenodo.50089.; Journal ID: ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 97 MATHEMATICS AND COMPUTING; extended-MHD NIMROD peeling ballooning mode plasma instability; electrical resistivity; edge localized modes; nonlinear dynamics; tokamaks; magnetohydrodynamics

Citation Formats


                    King, J. R., Pankin, A. Y., Kruger, S. E., and Snyder, P. B. The impact of collisionality, FLR, and parallel closure effects on instabilities in the tokamak pedestal: Numerical studies with the NIMROD code.  United States: N. p., 2016. 
Web.  doi:10.1063/1.4954302.

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                    King, J. R., Pankin, A. Y., Kruger, S. E., & Snyder, P. B. The impact of collisionality, FLR, and parallel closure effects on instabilities in the tokamak pedestal: Numerical studies with the NIMROD code.  United States.  https://doi.org/10.1063/1.4954302

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                    King, J. R., Pankin, A. Y., Kruger, S. E., and Snyder, P. B. Fri .  
"The impact of collisionality, FLR, and parallel closure effects on instabilities in the tokamak pedestal: Numerical studies with the NIMROD code".  United States.  https://doi.org/10.1063/1.4954302.  https://www.osti.gov/servlets/purl/1259284.

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@article{osti_1259284,

  title        = {The impact of collisionality, FLR, and parallel closure effects on instabilities in the tokamak pedestal: Numerical studies with the NIMROD code},

  author       = {King, J. R. and Pankin, A. Y. and Kruger, S. E. and Snyder, P. B.},

  abstractNote = {The extended-MHD NIMROD code [C. R. Sovinec and J. R. King, J. Comput. Phys. 229, 5803 (2010)] is verified against the ideal-MHD ELITE code [H. R. Wilson et al., Phys. Plasmas 9, 1277 (2002)] on a diverted tokamak discharge. When the NIMROD model complexity is increased incrementally, resistive and first-order finite-Larmour radius effects are destabilizing and stabilizing, respectively. Lastly, the full result is compared to local analytic calculations which are found to overpredict both the resistive destabilization and drift stabilization in comparison to the NIMROD computations.},

  doi          = {10.1063/1.4954302},

  journal      = {Physics of Plasmas},

  number       = 6,

  volume       = 23,

  place        = {United States},

  year         = {Fri Jun 24 00:00:00 EDT 2016},

  month        = {Fri Jun 24 00:00:00 EDT 2016}

}

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Works referencing / citing this record:

Dominant two-fluid magnetohydrodynamic instabilities in CFETR upgrade phase-I scenario in presence of perfect conducting wall
journal, February 2019

Cheng, Shikui; Zhu, Ping; Banerjee, Debabrata
Plasma Physics and Controlled Fusion, Vol. 61, Issue 4
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Title: The impact of collisionality, FLR, and parallel closure effects on instabilities in the tokamak pedestal: Numerical studies with the NIMROD code

Abstract

Citation Formats

Ideal and resistive edge stability calculations with M3D-C1 journal, October 2010

Dynamics of the major disruption of a DIII-D plasma journal, May 2005

A drift ordered short mean free path description for magnetized plasma allowing strong spatial anisotropy journal, January 2004

Survey of Type I ELM dynamics measurements journal, April 2006

Nonlinear magnetohydrodynamics simulation using high-order finite elements journal, March 2004

Tunable integration scheme for the finite element method journal, September 1991

Numerical Method for the Stability Analysis of Ideal MHD Modes with a Wide Range of Toroidal Mode Numbers in Tokamaks journal, January 2007

Effect of strong radial variation of the ion diamagnetic frequency on internal ballooning modes journal, November 2000

Nonlinear Simulations of Peeling-Ballooning Modes with Anomalous Electron Viscosity and their Role in Edge Localized Mode Crashes journal, October 2010

Mitigating impact of thermal and rectified radio-frequency sheath potentials on edge localized modes journal, November 2014

Fluid theory of magnetized plasma dynamics at low collisionality journal, May 2007

First-order finite-Larmor-radius effects on magnetic tearing in pinch configurations journal, April 2011

Impact of a large density gradient on linear and nonlinear edge-localized mode simulations journal, September 2013

ELMs and constraints on the H-mode pedestal: peeling–ballooning stability calculation and comparison with experiment journal, January 2004

Verification of continuum drift kinetic equation solvers in NIMROD journal, March 2015

A first-principles predictive model of the pedestal height and width: development, testing and ITER optimization with the EPED model journal, August 2011

A high-order implicit finite element method for integrating the two-fluid magnetohydrodynamic equations in two dimensions journal, October 2007

BOUT++: A framework for parallel plasma fluid simulations journal, September 2009

Growth of ideal magnetohydrodynamic modes driven slowly through their instability threshold: Application to disruption precursors journal, August 1999

A parametric study of the drift-tearing mode using an extended-magnetohydrodynamic model journal, October 2014

Modelling of ELM dynamics for DIII-D and ITER journal, June 2007

Pedestal stability comparison and ITER pedestal prediction journal, July 2009

Stability and dynamics of the edge pedestal in the low collisionality regime: physics mechanisms for steady-state ELM-free operation journal, August 2007

Impact of the pedestal plasma density on dynamics of edge localized mode crashes and energy loss scaling journal, December 2014

Calculating electron cyclotron current drive stabilization of resistive tearing modes in a nonlinear magnetohydrodynamic model journal, January 2010

Fluid and drift-kinetic description of a magnetized plasma with low collisionality and slow dynamics orderings. II. Ion theory journal, October 2011

Magnetohydrodynamic stability of tokamak edge plasmas journal, July 1998

Edge localized modes and the pedestal: A model based on coupled peeling–ballooning modes journal, May 2002

Drift ballooning instabilities in tokamak edge plasmas journal, November 2003

Methods for numerical simulation of ideal MHD stability of axisymmetric plasmas journal, December 1986

Influence of diamagnetic drifts on critical beta in tokamaks journal, August 1982

Gyro-fluid and two-fluid theory and simulations of edge-localized-modes journal, May 2013

Non-linear MHD simulations of edge localized modes (ELMs) journal, November 2009

Numerical studies of edge localized instabilities in tokamaks journal, April 2002

A class of basis functions for non-ideal magnetohydrodynamic computations journal, May 1996

Influence of Gyration Radius and Collisions on Hydromagnetic Stability journal, January 1964

Magnetic X-points, edge localized modes, and stochasticity journal, June 2010

Non-linear MHD simulation of ELM energy deposition journal, November 2013

Computational modeling of fully ionized magnetized plasmas using the fluid approximation journal, May 2006

Comparison of kinetic and extended magnetohydrodynamics computational models for the linear ion temperature gradient instability in slab geometry journal, June 2013

Stabilizing effects of edge current density on pedestal instabilities journal, March 2012

Edge localized linear ideal magnetohydrodynamic instability studies in an extended-magnetohydrodynamic code journal, March 2010

Resistive MHD simulation of edge-localized-modes for double-null discharges in the MAST device journal, July 2013

Analysis of a mixed semi-implicit/implicit algorithm for low-frequency two-fluid plasma modeling journal, August 2010

Stabilization of numerical interchange in spectral-element magnetohydrodynamics journal, August 2016

Nimrod Growth Rates (1/S) By Finite Element Poly_Degree (Columns) And Case From "The Impact Of Collisionality, Flr And Parallel Closure Effects On Instabilities In The Tomakak Pedestal: Numerical Studies With The Nimrod Code” dataset, January 2016

Dominant two-fluid magnetohydrodynamic instabilities in CFETR upgrade phase-I scenario in presence of perfect conducting wall journal, February 2019

Ideal MHD stability and characteristics of edge localized modes on CFETR journal, November 2017

Ideal and resistive edge stability calculations with M3D-C1
journal, October 2010

Dynamics of the major disruption of a DIII-D plasma
journal, May 2005

A drift ordered short mean free path description for magnetized plasma allowing strong spatial anisotropy
journal, January 2004

Survey of Type I ELM dynamics measurements
journal, April 2006

Nonlinear magnetohydrodynamics simulation using high-order finite elements
journal, March 2004

Tunable integration scheme for the finite element method
journal, September 1991

Numerical Method for the Stability Analysis of Ideal MHD Modes with a Wide Range of Toroidal Mode Numbers in Tokamaks
journal, January 2007

Effect of strong radial variation of the ion diamagnetic frequency on internal ballooning modes
journal, November 2000

Nonlinear Simulations of Peeling-Ballooning Modes with Anomalous Electron Viscosity and their Role in Edge Localized Mode Crashes
journal, October 2010

Mitigating impact of thermal and rectified radio-frequency sheath potentials on edge localized modes
journal, November 2014

Fluid theory of magnetized plasma dynamics at low collisionality
journal, May 2007

First-order finite-Larmor-radius effects on magnetic tearing in pinch configurations
journal, April 2011

Impact of a large density gradient on linear and nonlinear edge-localized mode simulations
journal, September 2013

ELMs and constraints on the H-mode pedestal: peeling–ballooning stability calculation and comparison with experiment
journal, January 2004

Verification of continuum drift kinetic equation solvers in NIMROD
journal, March 2015

A first-principles predictive model of the pedestal height and width: development, testing and ITER optimization with the EPED model
journal, August 2011

A high-order implicit finite element method for integrating the two-fluid magnetohydrodynamic equations in two dimensions
journal, October 2007

BOUT++: A framework for parallel plasma fluid simulations
journal, September 2009

Growth of ideal magnetohydrodynamic modes driven slowly through their instability threshold: Application to disruption precursors
journal, August 1999

A parametric study of the drift-tearing mode using an extended-magnetohydrodynamic model
journal, October 2014

Modelling of ELM dynamics for DIII-D and ITER
journal, June 2007

Pedestal stability comparison and ITER pedestal prediction
journal, July 2009

Stability and dynamics of the edge pedestal in the low collisionality regime: physics mechanisms for steady-state ELM-free operation
journal, August 2007

Impact of the pedestal plasma density on dynamics of edge localized mode crashes and energy loss scaling
journal, December 2014

Calculating electron cyclotron current drive stabilization of resistive tearing modes in a nonlinear magnetohydrodynamic model
journal, January 2010

Fluid and drift-kinetic description of a magnetized plasma with low collisionality and slow dynamics orderings. II. Ion theory
journal, October 2011

Magnetohydrodynamic stability of tokamak edge plasmas
journal, July 1998

Edge localized modes and the pedestal: A model based on coupled peeling–ballooning modes
journal, May 2002

Drift ballooning instabilities in tokamak edge plasmas
journal, November 2003

Methods for numerical simulation of ideal MHD stability of axisymmetric plasmas
journal, December 1986

Influence of diamagnetic drifts on critical beta in tokamaks
journal, August 1982

Gyro-fluid and two-fluid theory and simulations of edge-localized-modes
journal, May 2013

Non-linear MHD simulations of edge localized modes (ELMs)
journal, November 2009

Numerical studies of edge localized instabilities in tokamaks
journal, April 2002

A class of basis functions for non-ideal magnetohydrodynamic computations
journal, May 1996

Influence of Gyration Radius and Collisions on Hydromagnetic Stability
journal, January 1964

Magnetic X-points, edge localized modes, and stochasticity
journal, June 2010

Non-linear MHD simulation of ELM energy deposition
journal, November 2013

Computational modeling of fully ionized magnetized plasmas using the fluid approximation
journal, May 2006

Comparison of kinetic and extended magnetohydrodynamics computational models for the linear ion temperature gradient instability in slab geometry
journal, June 2013

Stabilizing effects of edge current density on pedestal instabilities
journal, March 2012

Edge localized linear ideal magnetohydrodynamic instability studies in an extended-magnetohydrodynamic code
journal, March 2010

Resistive MHD simulation of edge-localized-modes for double-null discharges in the MAST device
journal, July 2013

Analysis of a mixed semi-implicit/implicit algorithm for low-frequency two-fluid plasma modeling
journal, August 2010

Stabilization of numerical interchange in spectral-element magnetohydrodynamics
journal, August 2016

Nimrod Growth Rates (1/S) By Finite Element Poly_Degree (Columns) And Case From "The Impact Of Collisionality, Flr And Parallel Closure Effects On Instabilities In The Tomakak Pedestal: Numerical Studies With The Nimrod Code”
dataset, January 2016

Dominant two-fluid magnetohydrodynamic instabilities in CFETR upgrade phase-I scenario in presence of perfect conducting wall
journal, February 2019

Ideal MHD stability and characteristics of edge localized modes on CFETR
journal, November 2017